Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4(3)n
Question
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4(3)n
Solution
The sequence is defined by the formula an = 4(3)^n. To find the first five terms, we substitute the values n = 1, 2, 3, 4, and 5 into the formula.
- For n = 1, a1 = 4(3)^1 = 4 * 3 = 12
- For n = 2, a2 = 4(3)^2 = 4 * 9 = 36
- For n = 3, a3 = 4(3)^3 = 4 * 27 = 108
- For n = 4, a4 = 4(3)^4 = 4 * 81 = 324
- For n = 5, a5 = 4(3)^5 = 4 * 243 = 972
So, the first five terms of the sequence are 12, 36, 108, 324, and 972.
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